What is the Greatest Common Factor of 18768 and 18779?

Greatest common factor (GCF) of 18768 and 18779 is 1.

GCF(18768,18779) = 1

We will now calculate the prime factors of 18768 and 18779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18768 and 18779.

How to find the GCF of 18768 and 18779?

We will first find the prime factorization of 18768 and 18779. After we will calculate the factors of 18768 and 18779 and find the biggest common factor number .

Step-1: Prime Factorization of 18768

Prime factors of 18768 are 2, 3, 17, 23. Prime factorization of 18768 in exponential form is:

18768 = 2⁴ × 3¹ × 17¹ × 23¹

Step-2: Prime Factorization of 18779

Prime factors of 18779 are 89, 211. Prime factorization of 18779 in exponential form is:

18779 = 89¹ × 211¹

Step-3: Factors of 18768

List of positive integer factors of 18768 that divides 18768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 23, 24, 34, 46, 48, 51, 68, 69, 92, 102, 136, 138, 184, 204, 272, 276, 368, 391, 408, 552, 782, 816, 1104, 1173, 1564, 2346, 3128, 4692, 6256, 9384

Step-4: Factors of 18779

List of positive integer factors of 18779 that divides 18768 without a remainder.

1, 89, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18768 and 18779. The biggest common factor number is the GCF number.
So the greatest common factor 18768 and 18779 is 1.

Also check out the Least Common Multiple of 18768 and 18779